141248188900 has 405 divisors, whose sum is σ = 393867239451. Its totient is φ = 43945050240.

The previous prime is 141248188849. The next prime is 141248188909. The reversal of 141248188900 is 9881842141.

The square root of 141248188900 is 375830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 36406929636 + 104841259264 = 190806^2 + 323792^2 .

It is not an unprimeable number, because it can be changed into a prime (141248188909) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2394037071 + ... + 2394037129.

Almost surely, 2^141248188900 is an apocalyptic number.

141248188900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141248188900 is the 375830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141248188900

141248188900 is an abundant number, since it is smaller than the sum of its proper divisors (252619050551).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141248188900 is an equidigital number, since it uses as much as digits as its factorization.

141248188900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 46.

The spelling of 141248188900 in words is "one hundred forty-one billion, two hundred forty-eight million, one hundred eighty-eight thousand, nine hundred".